Factors of 8400
The factors of 8400 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 100, 105, 112, 120, 140, 150, 168, 175, 200, 210, 240, 280, 300, 336, 350, 400, 420, 525, 560, 600, 700, 840, 1050, 1200, 1400, 1680, 2100, 2800, 4200, 8400. It has 60 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 8400 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8400 ≈ 91.65; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 60 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 30752. Without 8400 itself that is 22352, so 8400 is an abundant number.
LaTeX source of the formulas on this page
\[ 8400 = 2^{4} \times 3 \times 5^{2} \times 7 \]Factor pairs of 8400
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 8400 | 1 × 8400 = 8400 |
| 2 | 4200 | 2 × 4200 = 8400 |
| 3 | 2800 | 3 × 2800 = 8400 |
| 4 | 2100 | 4 × 2100 = 8400 |
| 5 | 1680 | 5 × 1680 = 8400 |
| 6 | 1400 | 6 × 1400 = 8400 |
| 7 | 1200 | 7 × 1200 = 8400 |
| 8 | 1050 | 8 × 1050 = 8400 |
| 10 | 840 | 10 × 840 = 8400 |
| 12 | 700 | 12 × 700 = 8400 |
| 14 | 600 | 14 × 600 = 8400 |
| 15 | 560 | 15 × 560 = 8400 |
| 16 | 525 | 16 × 525 = 8400 |
| 20 | 420 | 20 × 420 = 8400 |
| 21 | 400 | 21 × 400 = 8400 |
| 24 | 350 | 24 × 350 = 8400 |
| 25 | 336 | 25 × 336 = 8400 |
| 28 | 300 | 28 × 300 = 8400 |
| 30 | 280 | 30 × 280 = 8400 |
| 35 | 240 | 35 × 240 = 8400 |
| 40 | 210 | 40 × 210 = 8400 |
| 42 | 200 | 42 × 200 = 8400 |
| 48 | 175 | 48 × 175 = 8400 |
| 50 | 168 | 50 × 168 = 8400 |
| 56 | 150 | 56 × 150 = 8400 |
| 60 | 140 | 60 × 140 = 8400 |
| 70 | 120 | 70 × 120 = 8400 |
| 75 | 112 | 75 × 112 = 8400 |
| 80 | 105 | 80 × 105 = 8400 |
| 84 | 100 | 84 × 100 = 8400 |
Questions
What are the factors of 8400?
The factors of 8400 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 100, 105, 112, 120, 140, 150, 168, 175, 200, 210, 240, 280, 300, 336, 350, 400, 420, 525, 560, 600, 700, 840, 1050, 1200, 1400, 1680, 2100, 2800, 4200, 8400. It has 60 factors.
What are the prime factors of 8400?
2, 3, 5, 7. As a product: × 3 × × 7.
How many factors does 8400 have?
8400 has 60 factors (30 factor pairs).
What is the sum of the factors of 8400?
30752.
Is 8400 a prime number?
No. It is divisible by 2, so 8400 = 2 × 4200.